46787120640300 has 432 divisors, whose sum is σ = 144527314472352. Its totient is φ = 11683149004800.

The previous prime is 46787120640229. The next prime is 46787120640391. The reversal of 46787120640300 is 304602178764.

It is a happy number.

46787120640300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 46787120640300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9885296734 + ... + 9885301466.

It is an arithmetic number, because the mean of its divisors is an integer number (334553968686).

Almost surely, 2^{46787120640300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46787120640300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72263657236176).

46787120640300 is an abundant number, since it is smaller than the sum of its proper divisors (97740193832052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46787120640300 is a wasteful number, since it uses less digits than its factorization.

46787120640300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 46787120640300 in words is "forty-six trillion, seven hundred eighty-seven billion, one hundred twenty million, six hundred forty thousand, three hundred".